{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,2,23]],"date-time":"2024-02-23T17:13:49Z","timestamp":1708708429525},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2018,7,26]],"date-time":"2018-07-26T00:00:00Z","timestamp":1532563200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2018,7,26]],"date-time":"2018-07-26T00:00:00Z","timestamp":1532563200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100003336","name":"Bulgarian National Science Fund","doi-asserted-by":"publisher","award":["DN02-2\/2016","DN02-2\/2016"],"id":[{"id":"10.13039\/501100003336","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["282207"],"id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000086","name":"Directorate for Mathematical and Physical Sciences","doi-asserted-by":"publisher","award":["DMS-1516400","DMS-1516400"],"id":[{"id":"10.13039\/100000086","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Des. Codes Cryptogr."],"published-print":{"date-parts":[[2019,3]]},"DOI":"10.1007\/s10623-018-0524-z","type":"journal-article","created":{"date-parts":[[2018,7,26]],"date-time":"2018-07-26T15:07:23Z","timestamp":1532617643000},"page":"299-315","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["On spherical codes with inner products in a prescribed interval"],"prefix":"10.1007","volume":"87","author":[{"ORCID":"http:\/\/orcid.org\/0000-0001-7563-9552","authenticated-orcid":false,"given":"P. G.","family":"Boyvalenkov","sequence":"first","affiliation":[]},{"given":"P. D.","family":"Dragnev","sequence":"additional","affiliation":[]},{"given":"D. P.","family":"Hardin","sequence":"additional","affiliation":[]},{"given":"E. B.","family":"Saff","sequence":"additional","affiliation":[]},{"given":"M. M.","family":"Stoyanova","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,7,26]]},"reference":[{"key":"524_CR1","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/s10092-013-0087-3","volume":"51","author":"B Beckermann","year":"2014","unstructured":"Beckermann B., Bustamante J., Martinez-Cruz R., Quesada J.: Gaussian, Lobatto and Radau positive quadrature rules with a prescribed abscissa. Calcolo 51, 319\u2013328 (2014).","journal-title":"Calcolo"},{"key":"524_CR2","volume-title":"Discrete Energy on Rectifiable Sets","author":"S Borodachov","year":"2018","unstructured":"Borodachov S., Hardin D., Saff E.: Discrete Energy on Rectifiable Sets. Springer, New York (2018). (to appear)."},{"key":"524_CR3","doi-asserted-by":"publisher","first-page":"385","DOI":"10.1007\/s00365-016-9327-5","volume":"44","author":"P Boyvalenkov","year":"2016","unstructured":"Boyvalenkov P., Dragnev P., Hardin D., Saff E., Stoyanova M.: Universal lower bounds for potential energy of spherical codes. Constr. Approx. 44, 385\u2013415 (2016).","journal-title":"Constr. Approx."},{"issue":"1","key":"524_CR4","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1007\/s10623-016-0286-4","volume":"82","author":"P Boyvalenkov","year":"2017","unstructured":"Boyvalenkov P., Dragnev P., Hardin D., Saff E., Stoyanova M.: Energy bounds for codes and designs in Hamming spaces. Des. Codes Cryptogr. 82(1), 411\u2013433 (2017). (\n arxiv:1510.03406\n \n ).","journal-title":"Des. Codes Cryptogr."},{"key":"524_CR5","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/s10092-009-0013-x","volume":"47","author":"A Bultheel","year":"2010","unstructured":"Bultheel A., Cruz-Barroso R., Van Barel M.: On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. Calcolo 47, 21\u201348 (2010).","journal-title":"Calcolo"},{"key":"524_CR6","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1090\/S0894-0347-06-00546-7","volume":"20","author":"H Cohn","year":"2007","unstructured":"Cohn H., Kumar A.: Universally optimal distribution of points on spheres. J. Am. Math. Soc. 20, 99\u2013148 (2007).","journal-title":"J. Am. Math. Soc."},{"key":"524_CR7","doi-asserted-by":"publisher","first-page":"929","DOI":"10.1090\/S0894-0347-2012-00737-1","volume":"25","author":"H Cohn","year":"2012","unstructured":"Cohn H., Woo J.: Three point bounds for energy minimization. J. Am. Math. Soc. 25, 929\u2013958 (2012).","journal-title":"J. Am. Math. Soc."},{"key":"524_CR8","doi-asserted-by":"publisher","first-page":"7442","DOI":"10.1109\/TIT.2014.2359201","volume":"60","author":"H Cohn","year":"2014","unstructured":"Cohn H., Zhao Y.: Energy-minimizing error-correcting codes. IEEE Trans. Inf. Theory 60, 7442\u20137450 (2014). (\n arXiv:1212.1913\n \n ).","journal-title":"IEEE Trans. Inf. Theory"},{"key":"524_CR9","volume-title":"Methods of Numerical Integration","author":"PJ Davis","year":"1984","unstructured":"Davis P.J., Rabinowitz P.: Methods of Numerical Integration, 2nd edn. Academic Press, New York (1984).","edition":"2"},{"key":"524_CR10","doi-asserted-by":"publisher","first-page":"363","DOI":"10.1007\/BF03187604","volume":"6","author":"P Delsarte","year":"1977","unstructured":"Delsarte P., Goethals J.-M., Seidel J.J.: Spherical codes and designs. Geom. Dedic. 6, 363\u2013388 (1977).","journal-title":"Geom. Dedic."},{"key":"524_CR11","doi-asserted-by":"publisher","first-page":"582","DOI":"10.4153\/CJM-1970-065-4","volume":"22","author":"G Gasper","year":"1970","unstructured":"Gasper G.: Linearization of the product of Jacobi polynomials, II. Can. J. Math. 22, 582\u2013593 (1970).","journal-title":"Can. J. Math."},{"key":"524_CR12","first-page":"1","volume":"14","author":"GA Kabatyanskii","year":"1989","unstructured":"Kabatyanskii G.A., Levenshtein V.I.: Bounds for packings on a sphere and in space. Probl. Inf. Transm. 14, 1\u201317 (1989).","journal-title":"Probl. Inf. Transm."},{"key":"524_CR13","doi-asserted-by":"crossref","unstructured":"Koelink E., de los R\u00edos A.M., Rom\u00e1n P.: Matrix-valued Gegenbauer-type polynomials. Constr. Approx. 46(3), 459\u2013487 (2017).","DOI":"10.1007\/s00365-017-9384-4"},{"key":"524_CR14","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF00053379","volume":"25","author":"VI Levenshtein","year":"1992","unstructured":"Levenshtein V.I.: Designs as maximum codes in polynomial metric spaces. Acta Appl. Math. 25, 1\u201382 (1992).","journal-title":"Acta Appl. Math."},{"key":"524_CR15","first-page":"499","volume-title":"Handbook of Coding Theory","author":"VI Levenshtein","year":"1998","unstructured":"Levenshtein V.I.: Universal bounds for codes and designs. In: Pless V.S., Huffman W.C. (eds.) Handbook of Coding Theory, pp. 499\u2013648. Elsevier, Amsterdam (1998)."},{"issue":"2","key":"524_CR16","doi-asserted-by":"publisher","first-page":"253","DOI":"10.1007\/s00365-015-9301-7","volume":"43","author":"I Pacharoni","year":"2016","unstructured":"Pacharoni I., Zurri\u00e1n I.: Matrix Gegenbauer polynomials: the $$2 \\times 2$$ fundamental cases. Constr. Approx. 43(2), 253\u2013271 (2016).","journal-title":"Constr. Approx."},{"key":"524_CR17","volume-title":"Orthogonal Polynomials","author":"G Szeg\u0151","year":"1939","unstructured":"Szeg\u0151 G.: Orthogonal Polynomials, vol. 23. American Mathematical Society, Providence (1939)."},{"key":"524_CR18","unstructured":"Yudin V.A.: Minimal potential energy of a point system of charges. Discret. Mat. 4, 115\u2013121 (1992) (in Russian). English translation: Discret. Math. Appl. 3, 75\u201381 (1993)."}],"container-title":["Designs, Codes and Cryptography"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10623-018-0524-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-018-0524-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10623-018-0524-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,17]],"date-time":"2020-05-17T13:38:47Z","timestamp":1589722727000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10623-018-0524-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,7,26]]},"references-count":18,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2019,3]]}},"alternative-id":["524"],"URL":"https:\/\/doi.org\/10.1007\/s10623-018-0524-z","relation":{},"ISSN":["0925-1022","1573-7586"],"issn-type":[{"value":"0925-1022","type":"print"},{"value":"1573-7586","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,7,26]]},"assertion":[{"value":"29 December 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 June 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 July 2018","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"26 July 2018","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}